# An object is moving around a circle of radius 1.5 meters at a constant velocity of 7 meters per second.The frequency of the motion,in revolutions per second,is

$\begin{array}{1 1}0.24\\0.53\\0.67\\0.74\end{array}$

Answer : The velocity is given by $v=\large\frac{2\pi R}{T}$,where T is the period,but the frequency f is just the reciprocal of the period.Thus,$v=2\pi Rf$
We substitute the known numbers to obtain f=0.74rev/s
answered Aug 14, 2014